Nonlinear Problems of Elasticity

Portada
Springer Science & Business Media, 30 mar. 2006 - 838 páginas
During the nine years since the publication of the ?rst edition of this book, therehasbeensubstantialprogressonthetreatmentofwell-setpr- lemsofnonlinearsolidmechanics. Themainpurposesofthissecondedition are to update the ?rst edition by giving a coherent account of some of the new developments, to correct errors, and to re?ne the exposition. Much of the text has been rewritten, reorganized, and extended. The philosophy underlying my approach is exactly that given in the following (slightly modi?ed) Preface to the First Edition. In particular, I continue to adhere to my policy of eschewing discussions relying on tech- cal aspects of theories of nonlinear partial di?erential equations (although I give extensive references to pertinent work employing such methods). Thus I intend that this edition, like the ?rst, be accessible to a wide circle of readers having the traditional prerequisites given in Sec. 1.2. I welcome corrections and comments, which can be sent to my electronic mail address: ssa@math.umd.edu. In due time, corrections will be placed on my web page: http://www.ipst.umd.edu/Faculty/antman.htm.
 

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Índice

The Riemann Problem Uniqueness
2
12
34
3
207
7
256
Theory of Rods Deforming in Space 269
268
Under Rigid Motions
292
Monotonicity and Growth Conditions
303
Transverse Hemitropy and Isotropy
309
Growth Conditions
502
95
504
Linear Elasticity
509
Torsion Extension Inflation and Shear
515
Other SemiInverse Problems
550
Antiplane Problems
557
Instability of an Incompressible Body under Constant
570
Universal Motions of Incompressible Bodies
576

Uniform Rods Singular Problems
319
ImpulseMomentum Laws and the Principle
329
Planar Motions
336
Historical and Bibliographical Notes
342
Axisymmetric Equilibria of Shells
363
Tensors
399
Strain
419
Rotation
426
Mass and Density
432
Boundary and Initial Conditions
441
Constitutive Equations of Mechanics
449
Material Constraints
455
Isotropy
470
The Spatial Formulation
485
Constitutive Restrictions
493
Commentary Other Problems
583
Refinements and Generalizations
591
General Theories of Rods
603
106
629
General Theories of Shells
659
Appendix Topics in Linear Analysis
751
Appendix Local Nonlinear Analysis
760
Appendix Degree Theory
769
111
787
148
800
186
814
713
824
783
833
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